| 关于不定方程x2+49n=y3的唯一整数解 |
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| 引用本文： | 赵开明. 关于不定方程x2+49n=y3的唯一整数解[J]. 四川理工学院学报(自然科学版), 2008, 21(3) |
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| 作者姓名： | 赵开明 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 文章利用代数数论方法证明了不定方程x~2+49~n=y~3 n∈N,x■7的整数解仅(x,y,n)=(±524,65,1)并且证明了x~2+(P~2)~n=y~3,p是素数的一般解.
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| 关 键 词： | 不定方程 代数数论 整数解 |
About the Integer for Diophantine Equation x2+49n=y3 |
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| ZHAO Kai-ming. About the Integer for Diophantine Equation x2+49n=y3[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2008, 21(3) |
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| Authors: | ZHAO Kai-ming |
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| Abstract: | In this paper, let a∈N,■7,x,y∈Z,it has proved that diophantine equation x~2+49~n=y~3 has only integer solution,and has proved that diophantine equation x~2+(p~2)~ny~3 ( p is prime number) has general solution. |
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| Keywords: | diophantine equation algebraic number theory integer solution |
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